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finlep [7]
3 years ago
6

Trevor has an investment worth $6,774.50. He made his only deposit in it 22 years ago. Given that the investment yields 2.7% sim

ple interest annually, how big was the initial deposit?
Mathematics
2 answers:
ycow [4]3 years ago
8 0

Its D i just took the test

OleMash [197]3 years ago
7 0
My initial answer was $2750.45, and I will show you my calculations.

Calc : 6774.5 ÷ 100 = 67.745
67.745 × 2.7 = 182.9115
182.9115 × 22 = 4024.053
6774.5 - 4024.053 = 2750.45

= $2750.45

At first I thought this was correct, but after studying my answer I realise that the amount of interest would rise as the amount of money went up, therefore my calculations are very wrong. If I work out the answer, I will get back to you, but the calculation is more complicated than I first predicted
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Answer:

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DE = 4.24 units

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By applying Pythagoras theorem in ΔABC,

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AC = 8.49 units

Perimeter of ADEC = 3 + 4.24 + 3 + 8.49

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Area of ADEC = Area of ΔABC - Area of ΔBDE

Area of ΔABC = \frac{1}{2}(AB)(BC)

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Area of ΔBDE = \frac{1}{2}(BD)(BE)

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Area of ADEC = 18 - 4.5

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